Atkin-Lehner |
2+ 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
70150b |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
10084062500 = 22 · 57 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-542,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:34:1] [-21:48:1] |
Generators of the group modulo torsion |
j |
1128111921/645380 |
j-invariant |
L |
7.5946566019873 |
L(r)(E,1)/r! |
Ω |
1.0722411558124 |
Real period |
R |
1.7707435871056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14030e1 |
Quadratic twists by: 5 |